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Finding the Fourth Proportional to 101.45, 142.30 and 101.45

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Solution

The fourth proportional to 101.45, 142.30 and 101.45 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.45 : 142.30 = 101.45 : x
  2. Step 2: Convert to fraction form
    101.45/142.30 = 101.45/x
  3. Step 3: Cross multiply
    101.45x = 142.30 × 101.45
  4. Step 4: Simplify right side
    101.45x = 14,436.34
  5. Step 5: Solve for x
    x = 14,436.34/101.45
  6. Step 6: Final answer
    x = 142.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.